761536512 has 224 divisors, whose sum is σ = 2469245760. Its totient is φ = 230031360.

The previous prime is 761536499. The next prime is 761536519. The reversal of 761536512 is 215635167.

761536512 is a `hidden beast` number, since 7 + 615 + 36 + 5 + 1 + 2 = 666.

It is a super-2 number, since 2×761536512² = 1159875718218252288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (761536519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2432868 + ... + 2433180.

Almost surely, 2^761536512 is an apocalyptic number.

761536512 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761536512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1234622880).

761536512 is an abundant number, since it is smaller than the sum of its proper divisors (1707709248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

761536512 is a wasteful number, since it uses less digits than its factorization.

761536512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 329 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 761536512 is about 27595.9510073489. The cubic root of 761536512 is about 913.1951091133.

The spelling of 761536512 in words is "seven hundred sixty-one million, five hundred thirty-six thousand, five hundred twelve".